Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states

Details Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states Nonlinear entanglement witnesses, covariance matrices and the geometry of separable states

2006-12-13

arxiv.org/abs/quant-ph/0612108v1

J. Phys.: Conf. Ser. 67, 012004 (2007)

Physics

Quantum Physics

12 pages, 2 figures, for the proceedings of DICE2006 in Piombino (Italy)

Scientific paper

10.1088/1742-6596/67/1/012004

Entanglement witnesses provide a standard tool for the analysis of entanglement in experiments. We investigate possible nonlinear entanglement witnesses from several perspectives. First, we demonstrate that they can be used to show that the set of separable states has no facets. Second, we give a new derivation of nonlinear witnesses based on covariance matrices. Finally, we investigate extensions to the multipartite case.

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